Advanced Geometric Problem & Solution (Twice a week update) Now 4719 problems posted.
<Tri-2025-2204>, hint
By Ceva's BF/FA=BD/DC=AB/AC (c/b)
Let line BM and line AC meet at P. Then AC/CP=AF/FB=AC/AB (b/c)
Hence AB=CP. BF=AB x (c/b+c) DM=CP x( c/(b+c). BF=DM
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